Question

Сократите дробь (2-а)(2+а)/а-2

Answer 1

-(а-2)(2+а)/а-2=-2-а

Answer 2

To simplify the fraction, let's factor the numerator and then cancel any common factors with the denominator. The fraction is:

(2 - a)(2 + a) / (a - 2)

Now, let's factor the numerator:

(2 - a)(2 + a) = 4 - a^2

Now, the fraction becomes:

(4 - a^2) / (a - 2)

The numerator is a difference of squares, which can be factored further:

(4 - a^2) = (2 + a)(2 - a)

So, the fraction becomes:

(2 + a)(2 - a) / (a - 2)

Now, we can cancel the common factor (2 - a) in the numerator and denominator:

(2 + a) / 1

Therefore, the simplified fraction is simply:

2 + a